Numerical Analysis Seminar

Date: March 20, 2019

Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Antoine Mellet, UMD

Title: Anomalous Diffusion Phenomena: A Kinetic Approach

Abstract: The derivation of diffusion or drift-diffusion equations from transport equations (such as Vlasov-Fokker-Planck or Boltzmann equations) is a classical problem. In this talk, we will discuss situations in which the usual derivation fails because the mean squared displacement of the particles does not grow linearly with time. We will show that such "anomalous diffusion" regimes typically lead to fractional diffusion equations. We will present results in both bounded and unbounded domain and we will discuss some applications to the description of anomalous energy transport in chains of non-harmonic oscillators (FPU-alpha and FPU-beta chains).